Ground States for a Stationary Mean-Field Model for a Nucleon

被引:4
|
作者
Esteban, Maria J. [1 ]
Nodari, Simona Rota [2 ,3 ]
机构
[1] Univ Paris 09, CEREMADE, F-75775 Paris 16, France
[2] CNRS, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France
[3] Univ Paris 06, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France
来源
ANNALES HENRI POINCARE | 2013年 / 14卷 / 05期
关键词
CONCENTRATION-COMPACTNESS PRINCIPLE; CALCULUS;
D O I
10.1007/s00023-012-0211-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper we consider a variational problem related to a model for a nucleon interacting with the omega and sigma mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear physics nonrelativistic limit, which is of a very different nature than the nonrelativistic limit in the atomic physics. Ground states are shown to exist for a large class of values for the parameters of the problem, which are determined by the values of some physical constants.
引用
收藏
页码:1287 / 1303
页数:17
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